基于层次结构的三维矢量场建模
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摘要
根据自然界中物体纹理的空间方向性,提出一种三维矢量场建模方法。采用纹理的空间分布特征设计深度场,在深度场的各等值面上描绘纹理走向,通过矢量积运算完成三维矢量场的建模,使用拉普拉斯算法对三维矢量场进行平滑处理,并利用流线追踪算法对第2个矢量方向进行可视化操作。用生成的矢量场引导血管体纹理样本在三维空间中进行合成,实验结果验证了该算法的可行性。
Aiming at the nature solid texture has the characteristic of spatial orientation,a 3 D vector field modeling method is presented.This paper defines a depth field according to the spatial distribution characteristics of the texture,and draws texture directions on contour surface of the depth field.It uses the vector product operation to achieve the modeling of volumetric vector field.Laplacian algorithm is performed to make smoothing processing of 3D vector field.To realize the visibility of the second vector,the streamline tracking algorithm is used.The feasibility of the presented method is demonstrated by successfully guiding vascular solid texture examples to synthesize on the 3D space.
Aiming at the nature solid texture has the characteristic of spatial orientation,a 3 D vector field modeling method is presented.This paper defines a depth field according to the spatial distribution characteristics of the texture,and draws texture directions on contour surface of the depth field.It uses the vector product operation to achieve the modeling of volumetric vector field.Laplacian algorithm is performed to make smoothing processing of 3D vector field.To realize the visibility of the second vector,the streamline tracking algorithm is used.The feasibility of the presented method is demonstrated by successfully guiding vascular solid texture examples to synthesize on the 3D space.
引文
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[2]Liu Yang,Xu Weiwei,Wang Jun,et al.General Planar Quadrilateral Mesh Design Using Conjugate Direction Field[J].ACM Transactions on Graphics,2011,30(6):61-64.
[3]Owada S,Nielsen F,Okabe M,et al.Volumetric Illustration:Designing 3D Models with Internal Textures[J].ACM Transactions on Graphics,2004,23(3):322-328.
[4]Fu Hongbo,Wei Yichen,Tai C L,et al.Sketching Hairstyles[C]//Proceedings of the 4th Eurographics Workshop on Sketch-based Interfaces and Modeling.New York,USA:ACM Press,2007:31-36.
[5]Zhang Guoxin,Du Songpei,Lai Yukun,et al.Sketch Guided Solid Texturing[J].Graphical Models,2011,73(4):59-73.
[6]李海杰.基于OpenGL的矢量场可视化方法研究与应用[D].沈阳:东北大学,2013.
[7]Ryabinin K,Chuprina S.Adaptive Scientific Visualization System for Desktop Computers and Mobile Devices[J].Procedia Computer Science,2013,18(1):722-731.
[8]顾耀林,吉晓娟.基于时间延迟的矢量场可视化方法的应用研究[J].计算机工程,2007,33(2):186-188.
[9]苏芳.基于GPU的二维矢量场可视化点噪声方法的研究与实现[D].青岛:中国海洋大学,2011.
[10]Karch G K,Sadlo F,Weiskopf D,et al.Visualization of2D Unsteady Flow Using Streamline-based Concepts in Space-time[J].Journal of Visualization,2015,18(4):1-14.
[11]王媛媛.基于自适应细分方法的医学图像三维重建及可视化技术研究[D].杭州:浙江大学,2010.
[12]王成恩,姜传彦,武新宇.基于几何图形的矢量场可视化技术[J].东北大学学报:自然科学版,2011,32(3):327-330.
[13]江兆尧,路游,贾广忠,等.基于OpenGL的光线投射算法的研究[J].计算机技术与发展,2010,20(3):218-220.